Question

Solve for x 3x - 2 = -2x - 47

Answer 1

value of x is -9.

Explanation:

3x - 2 = -2x - 47

3x + 2x = - 47 + 2

5x = -45

x = -45/5

x = -9

Answer 2

Equations

Given equation:

`\dag\quad\sf{3x-2=-2x-47}`

In order to solve this equation, isolate x on one side of the equation.

Begin by adding 2x to both sides:

`\dag\quad\sf{3x+2x-2=-47}`

Add 2 to both sides:

`\dag\quad\sf{3x+2x=-47+2}`

Combine the like terms now:

`\dag\quad\sf{5x=-45}`

The next step is to divide both sides by 5 - and then, x will be all by itself on the left side of our equation. That was our goal, was it not?

`\dag\quad\sf{x=-9}`

We now know that the value of x for this equation is -9.